10010102112 has 288 divisors, whose sum is σ = 31562504064. Its totient is φ = 2995814400.

The previous prime is 10010102099. The next prime is 10010102119. The reversal of 10010102112 is 21120101001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010102094 and 10010102103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010102119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9434062 + ... + 9435122.

It is an arithmetic number, because the mean of its divisors is an integer number (109592028).

Almost surely, 2^10010102112 is an apocalyptic number.

10010102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781252032).

10010102112 is an abundant number, since it is smaller than the sum of its proper divisors (21552401952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10010102112 is a wasteful number, since it uses less digits than its factorization.

10010102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010102112 its reverse (21120101001), we get a palindrome (31130203113).

The spelling of 10010102112 in words is "ten billion, ten million, one hundred two thousand, one hundred twelve".